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212323303220 = 225726310195659
BaseRepresentation
bin1100010110111101110…
…1000111111100110100
3202022001011202100111012
43011233131013330310
511434314231200340
6241312345131352
721224366204510
oct3055735077464
9668034670435
10212323303220
1182055a73316
1235196789b58
1317039450582
14a3c2a1b140
1557ca2a8565
hex316f747f34

212323303220 has 96 divisors (see below), whose sum is σ = 512105932800. Its totient is φ = 72435798144.

The previous prime is 212323303193. The next prime is 212323303249. The reversal of 212323303220 is 22303323212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37516751 + ... + 37522409.

It is an arithmetic number, because the mean of its divisors is an integer number (5334436800).

Almost surely, 2212323303220 is an apocalyptic number.

212323303220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212323303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256052966400).

212323303220 is an abundant number, since it is smaller than the sum of its proper divisors (299782629580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212323303220 is a wasteful number, since it uses less digits than its factorization.

212323303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 212323303220 its reverse (22303323212), we get a palindrome (234626626432).

The spelling of 212323303220 in words is "two hundred twelve billion, three hundred twenty-three million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1019 1052 1315 1841 2038 2630 3682 4076 5095 5260 5659 7133 7364 9205 10190 11318 14266 18410 20380 22636 28295 28532 35665 36820 39613 56590 71330 79226 113180 142660 158452 198065 267997 396130 535994 792260 1071988 1339985 1488317 1875979 2679970 2976634 3751958 5359940 5766521 5953268 7441585 7503916 9379895 10418219 11533042 14883170 18759790 20836438 23066084 28832605 29766340 37519580 40365647 41672876 52091095 57665210 80731294 104182190 115330420 161462588 201828235 208364380 403656470 807312940 1516595023 3033190046 6066380092 7582975115 10616165161 15165950230 21232330322 30331900460 42464660644 53080825805 106161651610 212323303220